TY - GEN AU - Sandfort,Kai TI - The factorization method for inverse scattering from periodic inhomogeneous media SN - KSP/1000019400 PY - 2010/// PB - KIT Scientific Publishing KW - Lippmann-Schwinger equation KW - crystal KW - inverse scattering problem KW - factorization method KW - photonics N1 - Open Access N2 - This book addresses the identification of the shape of penetrable periodic media by means of scattered time-harmonic waves. Mathematically, this is about the determination of the support of a function which occurs in the governing equations. Our theoretical analysis shows that this problem can be strictly solved for acoustic as well as for electromagnetic radiation by the so-called Factorization Method. We apply this method to reconstruct a couple of media from numerically simulated field data UR - https://www.ksp.kit.edu/9783866445505 UR - https://directory.doabooks.org/handle/20.500.12854/47321 ER -